Inequalities for convex and \(s\)-convex functions on \(\Delta = [a, b] \times [c, d]\)

DOI10.1186/1029-242X-2012-20zbMath1279.26034arXiv1101.0944WikidataQ59271444 ScholiaQ59271444MaRDI QIDQ368042

Merve Avci, Havva Kavurmaci, Ahmet Ocak Akdemir, Muhamet Emin Özdemir

Publication date: 17 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0944

zbMATH Keywords

\(s\)-convex functionsco-ordinatesHadamard-type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (9)

Weighted Ostrowski type inequalities for co-ordinated convex functions ⋮ On Hermite-Hadamard type inequalities via fractional integral operators ⋮ Unnamed Item ⋮ Integral inequalities for (Orlicz, Breckner) co-ordinated convex functions on rectangles ⋮ Exponentially convex functions on the coordinates and novel estimations via Riemann-Liouville fractional operator ⋮ Generalizations of inequalities for differentiable co-ordinated convex functions ⋮ Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications ⋮ Two-Dimensional Trapezium Inequalities via pq-Convex Functions ⋮ Unnamed Item

Cites Work

• Hadamard-type inequalities for s-convex functions
• Some remarks on \(s\)-convex functions
• Exploring the concept of \(s\)-convexity
• A direct proof of the \(s\)-Hölder continuity of Breckner \(s\)-convex functions

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